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Finding the Fourth Proportional to 1,409.94, 1,928.48 and 1,387.26

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Solution

The fourth proportional to 1,409.94, 1,928.48 and 1,387.26 is: 1,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.94 : 1,928.48 = 1,387.26 : x
  2. Step 2: Convert to fraction form
    1,409.94/1,928.48 = 1,387.26/x
  3. Step 3: Cross multiply
    1,409.94x = 1,928.48 × 1,387.26
  4. Step 4: Simplify right side
    1,409.94x = 2,675,296.23
  5. Step 5: Solve for x
    x = 2,675,296.23/1,409.94
  6. Step 6: Final answer
    x = 1,897.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.